First slide

Solubility product(KSP)

Question

K_sp of CaSO₄.5H₂O is 9 × 10^–6, find the volume for 1g of CaSO₄ (Molecular weight = 136)

Easy

Solution

$\large CaS{O_4}.5{H_2}O\left( s \right) \rightleftharpoons \mathop {CaS{O_4}.5{H_2}O}\limits_S \left( {aq} \right)\xrightarrow{{}}\mathop {C{a^2}}\limits_S \left( {aq} \right) + \mathop {SO_4^{ - 2}}\limits_S \left( {aq} \right)$
$\large {S^2} = 9 \times {10^{ - 6}}$
$\large {\Rightarrow S} = 3 \times {10^{ - 3}}$
$\large \Rightarrow \frac{{\frac{1}{{136}}}}{V} = 3 \times {10^{ - 3}}$
$\large \Rightarrow V=\frac{10^3}{136\times3} = 2.45$

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